Q.ikan- Soal 1f(x) = 5x³ + 3x² - 2x² + 3x - 2xf'(2) = ..*- Soal 22.006² - 2022² = .. ( pakai sifat a.... Question from @liahanindita58

July 2022 2 27 Report

Q.ikan

- Soal 1
f(x) = 5x³ + 3x² - 2x² + 3x - 2x
f'(2) = ..*
- Soal 2
2.006² - 2022² = .. ( pakai sifat aljabar )
_______
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Zdytx

Jawaban:

- Soal 1

f'(2) = 65

- Soal 2

2.006² - 2.022² = (-64.448)

Penjelasan dengan langkah-langkah:

- Soal 1

f(x) = 5x³ + 3x² - 2x² + 3x - 2x

f(x) = 5x³ + x² + x

$\sf f'(x) = 5.3 \: {x}^{3 - 1} + 2. {x}^{2 - 1} + {x}^{1 - 1}$

$\sf f'(x) = 15 {x}^{2} + 2x + 1$

$\sf f'(2) = 15 {(2)}^{2} + 2(2)+ 1$

$\sf f'(2) = 15 (4) +4+ 1$

$\sf f'(2) = 60 + 5$

$\sf f'(2) = 65$

$_____________________$

- Soal 2

sifat aljabar = a² - b²= (a+b)(a-b)

2.006² - 2.022²

= (2.006 + 2.022)(2.006-2.022)

= 4.028 × (-16)

= -64.448

4 votes Thanks 22

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3 votes Thanks 1

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